class: center, middle, inverse, title-slide # Test1. ASA>3 mo only(NSAID 제외) against stomach cancer ### 2019-07-21 --- layout: true --- # Study flow .pull-left[ <div class="figure" style="text-align: center"> <img src="result/attritionDiagram_a1_t483_c484_o485.png" alt="Before matching" width="120%" /> <p class="caption">Before matching</p> </div> ] .pull-right[ <div class="figure" style="text-align: center"> <img src="result/attritionDiagramStrata_a1_t483_c484_o485.png" alt="After matching" width="120%" /> <p class="caption">After matching</p> </div> ] --- # Data: Before matching ``` ## Registered S3 methods overwritten by 'lme4': ## method from ## cooks.distance.influence.merMod car ## influence.merMod car ## dfbeta.influence.merMod car ## dfbetas.influence.merMod car ``` ``` ## Warning in instance$preRenderHook(instance): It seems your data is too ## big for client-side DataTables. 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848,1228,630,1291,826,3514,4122,706,656,384,1436,2484,856,385,400,366,3767,1863,581,2896,1687,1302,5766,3053,932,532,3686,379,377,1108,2505,995,1465,3820,1753,747,995,574,1249,403,5214,665,388,615,786,5187,922,857,1346,4033,3845,1383,1286,856,4499,416,3257,4666,404,1056,2469,726,2397,389,399,3392,423,1927,752,2164,1240,378,436,374,366,871,393,386,2256,562,550,2797,1348,373,910,498,436,868,893,1075,1491,1346,2174,1402,3182,443,367,2534,660,968,4865,3339,487,1060,4595,568,1318,1002,2761,5133,1632,5183,2935,2079,3615,1102,471,458,870,447,741,405,423,1032,2946,3894,415,395,872,384,672,1759,2072,408,2928,377,441,812,366,485,577,4625,1517,440,1212,432,4801,3883,442,2100,401,3128,3670,5112,1883,2163,5604,468,406,1430,4372,2212,474,4636,1135,2091,3078,552,1786,565,1395,383,370,3867,1219,3545,2418,945,376,688,2019,4569,399,1841,1501,1787,451,3154,3455,701,2093,2428,370,703,1067,3755,2467,2155,2463,3331,397,441,1235,3339,5752,534,818,366,1392,2497,5422,3263,1139,1076,1500,2256,428,1031,2616,820,1492,1066,1659,2032,1190,1634,567,464,427,394,514,1850,602,371,2798,2681,577,717,1806,413,3118,722,388,854,2957,5245,412,2963,3486,380,514,477,1555,548,5379,378,2383,463,472,1819,677,434,730,2722,952,378,380,366,4961,1045,1538,2565,1287,658,4114,368,368,516,534,1988,2343,840,497,894,400,859,2471,5383,4842,383,777,5075,1314,989,5005,880,394,462,1929,846,667,943,4851,2547,910,1149,2594,5089,1553,3909,4440,4170,3491,465,546,599,399,1010,398,1046,5544,381,2708,368,2449,430,654,1796,3195,4737,647,4532,2300,578,2321,539,534,5775,682,397,375,658,4110,442,3509,459,798,3039,571,5366,367,930,416,1059,2380,603,1124,2411,744,458,2156,511,1465,739,385,4357,2520,894,1167,3493,1343,2664,673,540,2894,4531,5505,5629,476,4091,728,624,378,455,366,3503,2331,545,1374,389,591,1863,2493,724,3144,730,554,4794,1946,457,471,623,3902,369,1463,5759,1374,5277,2317,5323,880,635,3619,5243,387,4894,469,369,495,803,374,875,434,5270,5371,1328,5542,3984,3244,897,394,4391,1593,1441,369,724,2281,398,382,1065,525,1736,467,796,502,698,1285,2563,1803,3401,3190,2796,368,434,665,637,895,1275,5491,417,4777,682,4434,5118,1089,384,1358,517,5278,2124,592,2314,538,537,2508,592,656,5326,504,789,4927,1753,3432,5106,452,2486,502,380,1255,379,767,2069,375,862,375,1374,2439,621,444,377,3985,1003,445,924,378,653,458,1858,4354,616,469,450,658,1883,377,1147,983,2032,897,5173,916,366,5614,5578,553,2660,2341,945,461,1508,1394,650,661,409,405,4052,2567,826,610,457,2631,2798,2406,380,5686,399,1058,1163,4487,474,672,3137,406,2434,1416,4318,621,407,5175,5558,2183,1262,880,2111,5025,475,1839,560,728,882,593,485,449,769,1327,532,4978,1425,781,4472,1500,980,397,1468,3500,389,1191,4626,1329,855,536,2132,3975,420,369,624,5077,752,686,3434,4893,537,769,398,2444,4921,4138,484,1965,4842,437,953,1132,522,2709,454,4393,1014,1412,676,390,764,2952,3370,785,1822,704,432,375,2581,990,378,980,384,1113,675,1394,2586,397,382,366,921,2058,985,694,883,408,2167,1012,372,2462,2508,3001,1061,532,815,3898,3808,834,2824,5736,1106,756,1017,387,2001,463,3656,2400,4763,399,434,1326,2395,735,760,5635,1121,371,1334,399,673,3249,636,1133,2757,4308,4116,3051,1171,1330,1863,3309,1773,373,1428,403,1342,4254,383,904,460,632,483,623,2366,1217,391,516,392,440,463,391,429,1121,575,367,375,5385,381,2027,466,658,2534,735,683,1013,752,617,369,468,646,1434,415,381,1781,486,1733,1148,650,622,3343,4560,371,417,394,447,727,3918,837,697,4919,1022,514,606,898,1523,500,4676,4897,592,5728,446,2775,1092,468,786,1724,5082,3244,580,1003,3900,562,2509,617,554,793,4548,385,2003,408,1029,683,457,821,1570,385,618,406,1764,4520,4312,421,3430,486,4174,2854,2885,2481,890,413,5310,554,570,638,5686,3717,765,1198,1808,452,1068,555,395,2255,2536,448,3738,3167,5220,373,4613,5554,2712,3246,446,4229,2155,5454,4728,1496,2292,819,1835,369,369,404,404,932,545,1121,1176,422,2092,2029,999,1328,3773,835,419,1002,994,4178,1758,3891,1588,4099,5670,462,615,1705,382,1469,377,438,3512,504,405,1922,445,3133,2026,760,5306,1455,598,475,5254,369,455,522,3430,1753,368,558,440,922,1152,4988,1044,384,4291,468,3638,556,409,2724,955,385,685,731,4829,535,1084,406,996,598,2042,372,367,3054,2525,479,389,4884,466,1942,584,418,401,437,2397,639,369,486,1493,4212,4432,4096,3341,775,2040,629,1797,1269,447,2446,2916,4880,2913,417,462,713,3190,700,2893,537,396,592,406,497,855,742,826,2640,803,1564,964,782,876,4799,448,452,594,5421,1373,994,597,3357,1596,367,3901,1863,391,417,760,1247,2765,412,4148,1234,1193,469,1394,885,495,804,2012,2415,2769,510,468,603,371,750,4257,513,1641,2863,952,1295,973,3631,2639,5385,446,1205,399,404,2263,2730,388,375,918,1860,2441,1197,2917,2590,3187,1329,377,967,1096,459,1128,1202,1030,1014,2263,768,377,1994,1923,1602,424,2170,417,3344,2566,2637,383,2980,3840,404,5100,377,399,488,452,377,517,642,388,2414,2049,368,413,2916,4280,796,941,1827,378,650,1895,1116,2315,1443,3166,528,1036,1692,1570,2733,3482,1119,1522,608,5690,1283,2812,668,3736,2007,389,3839,386,2678,1450,509,419,790,1521,4712,3214,453,386,395,670,416,2543,393,3171,375,532,1103,639,1014,373,37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4077,367,405,599,408,4421,1098,5200,1351,847,369,1214,2857,387,461,4686,1044,1884,407,2204,4162,4586,1478,4314,372,4967,3585,3988,1443,4741,863,403,1478,392,5129,777,625,435,1474,2470,1624,1862,411,1660,3900,897,2609,759,4642,424,4479,2602,409,974,407,2426,1638,455,2506,611,1271,393,589,470,5324,532,4433,1006,419,3277,4624,2058,666,524,402,451,458,908,712,402,588,663,432,413,602,1530,2009,4514,1539,451,1382,509,1564,5283,2166,1509,2025,450,2066,432,3104,1061,3578,1653,433,1163,3723,807,443,3028,403,421,2163,674,2161,1093,1797,366,400,378,1656,595,3487,388,1113,399,1082,613,835,382,3106,1002,469,1179,1179,1543,378,2653,4517,3248,3195,2590,765,410,4743,1080,394,2900,679,805,1400,1993,2129,406,1284,1167,1934,2142,5214,534,5047,1853,4017,2112,2104,426,5273,822,573,3778,1006,2618,1819,4011,1646,3956,2788,1331,1387,385,1342,460,735,652,2338,1459,3690,1292,1058,1249,545,686,1446,1377,4890,863,2675,5039,2042,822,1048,1225,1190,2154,2098,489,511,1495,1321,388,3552,1425,2069,1029,3693,3013,2346,726,895,764,881,510,1182,999,642,372,368,1563,3046,1391,2959,3742,2929,707,422,374,1561,766,466,1022,406,694,382,1016,441,3568,695,5393,1243,1298,378,2998,1779,672,1297,3500,486,379,388,790,1130,616,1161,5001,547,4389,3919,4032,1760,2882,3045,1832,550,5367,741,890,385,1515,1152,676,4623,1414,412,4720,2039,393,405,394,550,405,699,3300,836,1459,915,875,553,3873,1913,515,387,837,591,785,842,435,691,4842,4404,823,5062,2214,417,3503,3704,2177,3115,2023,5216,744,4273,466,417,399,414,1621,709,809,1057,511,1570,964,471,519,1310,2941,802,421,4805,938,2146,372,1199,526,494,4493,1750,1099,3854,1038,3668,988,377,883,1540,736,5152,752,413,2432,820,3982,544,1848,5053,371,4752,2051,4487,586,4735,631,3463,402,845,2500,2170,1180,424,1292,392,662,2112,420,1225,1526,519,5225,1847,1474,407,1020,536,4918,666,3496,3753,2974,402,742,381,374,861,2944,2015,1017,902,2486,2200,1795,1062,451,1441,448,1809,4581,2173,1926,1744,1793,2515,985,1107,3594,435,409,1379,521,3615,596,4900,1359,5163,1213,4471,1087,4723,907,3001,427,4826,1542,3198,462,1926,999,730,1898,367,2373,1366,387,1563,1265,683,439,891,702,365,377,1114,1168,381,384,403,1980,366,710,623,1126,3346,3164,2939,2974,5287,2771,3163,1031,707,386,2867,1318,810,794,378,2050,561,414,572,410,4647,1783,2817,1349,2787,1603,4826,805,1038,2094,2068,1031,419,2659,4971,385,2620,2370,477,1427,3808,2944,1408,4721,2192,2048,1189,523,1062,1280,4242,2019,731,530,404,560,1349,564,671,430,1947,430,907,1566,642,470,390,3872,857,5119,1195,2541,496,442,692,584,699,381,415,4103,1096,1504,1414,2989,1617,3160,1885,5037,732,1207,2409,627,835,612,448,1333,488,673,388,718,371,438,735,792,792,413,3215,1562,4649,462,2331,692,597,2898,4720,1133,3345,4774,674,3793,996,1735,475,1205,1239,986,2017,425,386,1721,1878,4254,5228,2687,896,1253,595,701,1216,2400,388,574,818,2326,388,803,2719,1204,2923,375,641,2910,657,384,462,866,378,657,456,2348,1012,1584,3364,1463,1325,1350,1166,2062,3958,2353,381,392,903,692,367,1483,488,640,875,783,434,5201,552,794,5219,2028,3442,853,1291,2959,983,2613,1552,2733,510,4995,614,2571,4992,4532,2445,1511,2047,516,1082,2556,2135,3706,682,1484,901,760,3778,1279,3570,421,2065,378,395,387,374,366,492,386,632,4028,378,3353,928,406,721,762,1196,381,2133,1218,1266,792,5280,638,608,1087,2107,1087,1527,369,3817,830,454,1193,1128,1580,478,523,753,376,401,2903,599,1049,707,367,680,1033,410,379,726,437,368,1335,1477,697,532,623,494,1359,1115,1301,438,735,394,483,1628,476,388,490,924,1253,1187,1631,371,3784,1131,1322,1785,446,894,2197,2006,2224,2481,2253,466,1838,370,379,1184,382,414,367,1046,445,1602,4791,371,2585,1135,1807,1065,4896,674,472,2313,5002,3696,2940,1459,1246,3434,2830,1352,1008,5216,1410,605,567,487,1709,1016,1213,1999,599,3339,485,4243,2598,608,479,4999,374,440,406,396,375,566,4032,751,378,399,600,3845,1456,594,653,553,728,1188,2264,2589,2557,383,2133,2084,2863,707,365,401,512,369,2309,516,1247,2764,568,2891,2402,898,371,420,4197,1446,1539,2524,2764,832,3000,1455,1547,2113,396,1748,623,570,2804,392,4394,1083,958,551,1509,381,1181,410,986,593,465,388,1206,1721,419,520,1138,1251,1451,667,1818,1592,1983,520,729,1571,5394,883,2585,1144,1961,3090,1393,479,1247,2948,517,1898,1905,455,710,378,4528,2075,925,428,384,368,2773,4605,372,2050,2250,3970,4391,3809,702,2835,1172,3396,474,1106,1384,2310,374,607,601,2297,2632,1007,2183,4425,379,1571,791,636,399,1820,1089,392,4717,1737,4176,501,3603,681,1586,863,3617,872,755,5195,561,804,4588,522,4652,3293,587,440,776,371,2393,497,381,1603,684,1326,4606,5215,387,409,870,520,426,517,394,5200,2847,809,559,559,367,2651,1309,406,1674,4784,382,3422,1654,2155,1043,1345,670,424,1843,2073,3788,437,2023,366,368,371,402,373,493,1033,2542,2334,3834,973,1896,667,2444,731,1833,1777,465,2005,394,1146,1387,3050,2257,5053,1391,3368,2338,2062,4358,3988,1840,2315,420,436,2073,4457,527,3520,616,1526,443,744,1603,2680,1429,1084,445,2811,3050,368,5127,377,1656,1685,2186,2440,416,4708,690,1585,418,418,595,2929,5122,403,2015,2606,1130,951,601,455,465,2561,773,842,695,661,1318,4195,1590,4033,2683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482,1644,2245,1412,3140,1217,1883,1722,626,480,397,411,516,425,1940,1145,966,1145,1877,656,890,574,2233,368,588,1802,467,2901,2341,1876,2593,537,731,836,388,2310,1525,2177,1012,2498,2693,529,424,395,2965,613,385,2205,371,1950,1517,742,1978,2849,397,3112,873,369,2089,979,1221,430,1783,1822,377,420,1444,425,444,944,1789,394,1073,2151,1443,1514,2602,410,1158,946,387,2669,2493,675,1766,1655,367,505,1031,2397,1879,2076,675,784,873,2191,381,1523,956,381,1117,464,889,2387,3006,1176,1065,1523,735,2804,386,724,1994,801,695,892,1190,2433,673,402,491,1053,650,383,1491,788,1694,1122,2622,1079,686,407,436,378,2208,2932,2641,2071,1290,448,386,370,459,671,412,371,715,1302,367,1330,1149,427,414,2252,365,541,2680,1723,562,376,423,737,489,1681,1777,476,2107,505,629,642,979,644,461,491,1388,576,684,1120,2291,1156,2874,1187,495,2266,670,411,510,3129,1193,417,1971,622,827,1281,448,987,1979,432,951,375,575,631,875,455,539,2465,679,557,2730,1207,392,445,371,417,373,441,2077,777,546,396,3225,796,783,376,563,3252,653,2981,646,3005,1140,448,382,2286,2518,454,2360,800,1839,416,836,674,402,383,2444,552,431,844,620,381,511,718,2988,386,394,640,406,525,408,379,2390,884,525,819,988,2144,383,879,835,549,418,2430,649,1551,2520,2626,519,819,697,489,426,651,2330,378,619,441,686,551,2963,557,556,1002,371,391,848,371,371,386,380,408,400,1229,2786,1294,1710,2561,1535,959,2938,2108,418,1249,1030,482,454,1990,2667,966,511,899,381,1338,587,1256,1439,1033,586,2657,498,412,1163,1250,489,1002,1176,920,906,370,622,1356,2000,1533,1097,365,942,1615,668,468,692,2215,365,536,1186,375,435,417,3182,425,2422,1106,1293,666,1100,3273,385,715,2769,612,1120,2836,3307,1579,2296,434,1106,391,403,1916,418,2587,812,377,692,1768,428,1870,883,843,559,498,794,401,1327,2320,2789,1498,501,1741,539,637,588,417,402,828,386,529,434,787,787,753,1723,1965,1247,3264,367,1099,387,380,2989,1101,1520,3095,1073,2465,639,3097,469,1096,2703,1918,823,677,768,814,3146,2109,813,602,1770,2565,634,2729,1425,1802,2001,1932,2135,689,476,489,759,701,1014,990,1477,379,382,538,839,646,449,3038,1002,366,392,740,2060,2958,2059,386,539,447,770,390,597,2162,686,686,1885,368,576,379,1827,436,729,3078,495,895,1412,980,422,762,1894,2092,390,3024,2217,2348,568,1557,1571,522,2058,434,825,1314,1421,2514,368,370,2384,1140,1789,757,395,376,2391,2574,1097,368,2566,2478,593,2279,664,367,1257,1299,395,503,899,792,1560,386,2670,2588,1908,1405,1549,2236,478,437,2383,1564,413,3152,2989,603,385,933,570,1554,1140,374,434,707,842,374,371,378,1034,371,3195,2503,2649,778,377,458,1265,888,950,2258,1487,472,399,409,1463,419,1425,392,365,1080,1431,559,370,2143,371,653,2676,568,945,371,504,1070,1980,367,1249,1947,2366,1281,411,609,538,1460,2566,1287,1614,1661,405,2490,3227,489,1541,687,2274,2412,625,366,452,1839,554,2539,1667,2104,462,397,2450,3230,1050,665,368,1576,637,465,801,1687,2555,1220,1805,1299,671,389,779,1621,1630,564,1971,376,394,3203,2010,1144,1553,1291,1327,967,2368,640,382,378,567,428,1363,1391,630,525,875,950,602,734,1106,1580,1137,1134,604,731,462,1960,1939,2160,1127,2969,420,370,521,640,1881,2494,368,504,367,1549,568,690,779,525,717,479,995,485,399,692,667,1239,863,691,687,551,684,1247,695,696,1232,713,686,687,687,716,685,691,690,1267,675,679,679,673,695,642,549,662,1668,669,786,2169,2530,1460,405,553,564,769,559,470,1948,560,1267,2104,371,2355,1138,581,376,1524,474,400,379,411,1135,395,678,2646,637,732,460,568,405,807,2208,411,2703,407,1517,518,579,1271,401,1544,1745,2108,621,390,2648,474,447,568,719,1970,1060,1013,2791,547,371,447,2649,370,931,1816,1062,1684,3094,2774,405,392,870,751,432,427,516,703,440,419,423,375,3068,368,387,2921,1038,1356,799,866,891,1980,1156,2386,650,2610,1103,371,3011,780,843,380,461,845,395,1826,406,969,1485,371,2076,365,2483,2852,1969,534,393,1316,954,1168,903,1871,1452,392,525,2831,459,2108,392,738,765,2380,2662,383,377,567,632,1941,930,395,412,401,1706,2288,1360,443,371,1384,2165,1227,969,374,715,470,1811,401,401,427,583,1790,376,2005,751,796,380,392,380,2946,653,390,823,450,848,1798,503,414,596,500,1768,379,375,638,936,1035,575,441,413,831,629,675,2524,2261,1891,1177,859,1354,1566,2756,1407,1289,888,457,1036,662,2940,1524,2602,1128,2047,794,1888,902,1437,1727,744,510,500,2405,1757,549,399,1547,436,1215,1474,1925,886,1708,400,772,420,1345,485,729,989,417,371,1400,581,833,1513,445,846,2616,1498,1177,1246,1324,413,382,609,2198,503,421,388,372,560,1867,679,1575,394,424,541,749,568,373,1253,2860,2389,1306,2071,378,3205,1131,555,721,1129,505,1405,2024,420,907,1254,830,365,929,881,833,375,1131,414,665,575,1757,539,372,663,837,372,1929,2492,1022,3057,1917,1572,701,664,840,1158,459,431,679,598,1995,384,370,479,370,374,487,692,2403,829,1678,2813,1497,3270,922,434,447,2910,2348,1629,2271,1815,3030,982,3237,384,446,1645,742,373,369,1674,578,571,513,696,1972,914,382,2588,1010,1362,1783,732,2690,2287,1173,366,366,650,399,1344,1834,2929,467,2042,434,504,734,415,1013,1896,2165,676,2680,389,706,488,378,1092,505,951,727,639,2785,2242,1169,370,875,452,645,741,378,2184,541,369,1934,385,532,3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56,3225,2156,5686,2199,3750,9211,2849,371,894,2162,2343,627,3911,438,434,3793,2147,735,2127,2441,5111,3554,1849,811,7671,1146,560,408,2034,420,3017,2088,365,965,3297,2123,4253,3743,376,365,449,2455,2431,2118,3559,2468,3755,3979,825,3280,1878,8126,2108,668,2215,2310,445,3450,484,3603,5223,2350,1650,487,1637,1209,986,4218,4177,2298,1053,4283,383,473,9008,414,504,3414,450,2065,853,463,658,2110,1186,1275,985,607,3349,3229,4216,4518,3947,2127,3656,2445,2124,699,6827,404,2113,7189,1940,710,3389,844,3353,7822,1103,2218,733,1323,366,3322,1052,2792,373,2183,3512,660,668,4583,5164,2118,1691,6046,2115,368,6459,3635,884,1972,494,1159,6331,3395,687,2191,663,869,1106,2094,704,414,1759,8840,2856,3375,2629,868,2588,2100,2098,931,6070,5336,4947,1689,4887,376,8611,2374,648,2970,5606,844,643,1861,674,3456,2793,667,561,1901,456,2311,641,2308,8988,2283,5398,429,1080,1829,1276,1727,2774,2208,3876,371,2198,393,2113,425,2149,2530,5955,584,3797,533,2365,6336,2493,2587,4051,578,513,981,866,4544,3539,2388,1160,2717,2821,6702,3489,1914,393,613,457,3221,535,671,1638,2365,774,2164,2163,435,368,467,869,2163,1719,2100,4896,424,3138,470,995,472,378,1326,383,551,1114,1964,3066,3439,3596,6239,1804,2101,3059,504,2090,4902,365,384,943,422,2018,3362,5297,2048,3746,3842,3644,373,4542,1007,1058,2104,378,1414,381,2163,3513,2111,5326,365,4861,2448,2602,2913,1761,2087,543,5809,2443,2466,2865,433,2808,1379,412,7960,578,1130,2884,378,462,383,2282,1999,2751,2979,539,6171,561,4878,449,398,2686,3764,2029,2498,3280,2598,1032,6124,1001,2374,1137,2395,709,1382,780,425,8493,2539,1835,701,1326,5399,505,6569,555,5771,5699,952,515,902,815,6535,6431,6319,461,3316,7787,2756,5994,1776,608,2332,4032,3225,2093,2444,7535,449,3969,1856,4222,2548,602,1781,8434,2353,412,1585,996,3693,5579,7802,2657,940,455,1507,2107,2333,2918,411,388,2580,2358,5971,2750,2530,1511,2504,5481,2091,3043,1849,666,4727,382,1663,2259,2379,5709,2230,3032,1625,1489,5076,2233,2075,2135,610,374,394,655,2422,2394,2136,369,3547,2429,2671,723,2216,2640,1931,1251,1020,3122,420,367,389,384,843,1444,4836,2507,782,4453,2565,9022,3612,9122,2076,2310,790,2072,1166,1227,2241,2957,417,408,2484,2510,2447,644,666,2094,2291,1573,2471,3988,5908,2258,611,556,2108,1621,1699,2107,3548,3972,2017,4307,873,2391,7989,1116,853,8852,7016,5423,2338,2066,3199,688,497,365,613,2382,2275,4732,2113,2407,4623,2641,1335,2780,4844,1350,3866,3663,444,1188,2242,914,1325,3011,861,486,528,2074,371,1326,449,3102,398,2083,2433,1514,2289,367,2682,513,528,2089,1203,7050,2636,2076,2506,584,1768,4308,839,6876,2413,2128,5487,442,2998,1682,2077,2406,536,5923,632,6167,2623,2130,2540,2454,772,5719,5118,1562,3042,3163,2752,2060,424,1705,4004,397,6246,721,2031,3988,1588,2590,1921,5611,374,1026,2337,8121,715,3941,893,8868,777,3880,6921,2514,8852,535,2985,1057,416,2388,2199,8656,373,5878,596,2178,3462,5309,2617,386,5608,2114,2735,1375,867,2202,7539,7077,640,1109,411,720,8702,8749,2109,499,2910,5174,2968,527,2445,6472,424,1582,652,4675,4608,2299,567,504,2280,2929,1808,827,731,2780,4642,8411,3015,7084,1429,1000,2102,5592,2157,2296,1617,2211,3729,2123,2451,4216,3826,669,2060,452,370,1305,4028,2030,486,1524,8948,1421,392,2509,9036,2054,1562,1580,3588,2200,8663,778,2053,4714,762,2050,6167,2168,4223,1092,455,2555,3787,8379,2297,2034,435,3984,633,407,2424,2379,4249,2045,1502,373,1077,2114,412,598,1259,365,1086,2212,1429,2438,2647,2922,1267,2699,1902,5222,2161,2232,2083,2744,3904,932,2602,2812,3871,2450,2046,570,2344,3660,7583,4037,3656,373,1302,817,3634,383,4936,2431,556,1964,1208,4799,2793,893,1153,2253,643,374,4046,4631,699,2149,6038,6459,3052,1138,683,3401,395,369,781,2176,2122,2597,433,2050,806,2059,4116,2118,2317,2365,879,2729,2846,2134,3337,2222,5637,1763,1489,4413,2642,456,2252,2409,2439,5194,6765,1214,383,2173,1172,378,2690,2648,3669,1871,2500,4072,2136,3676,1052,839,2214,3639,571,995,770,8960,5217,1066,3985,2075,2339,2418,2953,443,2036,3299,5171,3772,5186,2061,2004,6367,436,1460,2259,3048,3054,739,5106,468,2695,2219,3505,1118,2189,5348,2202,5049,2434,1612,2497,1606,1112,374,2945,516,3796,703,2034,3395,390,2189,611,1276,5986,3075,1226,4904,403,834,3885,4092,2393,635,413,2390,1996,1604,796,532,1290,2629,380,431,3307,2066,554,798,3663,927,2940,6976,2135,2282,2652,2050,2044,2163,1874,1821,4447,2031,2643,4459,2555,3970,616,8137,1002,3869,4398,2009,605,5450,1433,1082,4733,790,3082,1128,6612,1032,4799,756,2466,1628,6765,2141,3673,1353,2047,2493,377,1244,479,3814,4066,1810,2239,1443,5309,3062,664,2592,2925,3889,573,1725,5421,2558,381,2120,2533,4867,4363,4654,396,3647,1801,2622,7751,435,1412,684,577,1357,996,2331,6793,1997,1884,381,2904,1155,525,3316,1160,4744,1202,7555,2119,368,365,2433,2129,4783,1659,9290,2541,7846,775,505,1988,4486,658,442,378,2558,1677,1067,2211,3760,1061,2016,3485,2014,1108,4292,1965,584,2053,901,563,371,2029,5133,4417,2083,3833,1495,1116,2853,1251,897,2044,986,6654,758,1009,366,4657,1294,7278,3475,1986,3334,7655,2359,2015,2400,2085,1180,860,2936,3467,1726,6999,2128,424,2350,3401,3919,619,1893,3020,6188,2176,2322,2481,436,2208,2351,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,1942,5025,514,3197,2525,1184,805,603,4694,1167,1253,2560,1957,1743,767,1880,829,928,2494,2154,919,380,1524,3196,2469,1397,1085,1186,546,829,410,976,962,779,1912,6721,893,5150,3008,2075,421,2219,668,6568,2947,617,921,852,2758,6757,977,5131,913,2913,896,829,1644,2213,3842,2910,2617,825,892,567,497,8078,464,2296,1117,1395,2966,1726,3117,384,1496,825,4951,1816,434,3425,838,897,1133,958,647,2913,1149,690,383,382,1682,1225,1788,945,1859,1048,1630,6845,5598,396,7678,1127,4082,410,3946,2649,839,2758,6627,830,1112,818,2220,5359,826,2212,3211,811,538,941,625,457,629,558,4964,837,1020,1477,4323,979,441,1915,5918,816,2311,846,4135,5039,1289,1050,844,972,5746,372,1336,6159,4984,1181,3460,809,1482,1347,1145,892,1573,3882,831,4503,833,2270,4733,3289,853,3902,1463,6273,1792,538,404,782,1915,819,1277,2182,2282,4147,2799,441,6099,5592,413,1837,2069,4058,2025,977,1926,1247,1669,988,857,1466,951,992,6667,369,453,2976,2552,2186,609,1459,1513,932,378,2490,1323,1250,828,1003,885,995,426,2527,952,2210,1071,1065,1053,1091,4626,608,1525,377,1477,393,1301,2177,3115,2420,868,807,411,444,2058,463,5996,929,559,836,3112,813,862,1732,807,1029,2939,3954,1959,2837,801,867,1934,3459,2252,1261,1206,1472,2863,1766,5189,2015,2461,1387,2387,389,2509,1414,2283,4422,953,805,2522,2236,2010,390,1858,5255,1976,972,749,905,866,7614,1565,5999,6848,815,599,767,1214,484,834,8010,1169,8083,1243,544,458,1232,790,1036,796,895,410,1814,782,1719,1101,847,885,932,1153,907,1186,4121,1025,4061,4282,474,1513,4636,588,2534,856,1065,1419,601,7219,917,1718,865,822,5465,551,3610,2556,1259,958,1719,899,899,1293,1001,772,774,1276,2839,2027,9323,1226,3007,3055,5957,781,2062,1432,4500,588,449,3031,7715,2780,675,5001,766,2658,1940,812,768,392,1600,1606,767,1162,2441,786,786,5960,788,1871,368,1080,1485,2839,1198,1053,881,2356,813,5251,3088,3214,992,1925,1040,1864,1122,1928,4506,2656,441,4713,2067,2293,1478,1367,885,1449,7795,1062,808,804,1612,1723,1608,1617,7996,1422,761,5903,1640,449,757,2019,1246,766,1173,842,2044,759,825,1240,6367,887,1133,715,2477,1838,1643,1142,844,517,1067,752,408,397,4380,5088,1655,1474,1155,1812,1202,2571,375,591,1769,1545,5895,1086,819,844,910,1656,1686,2149,2069,1321,4852,1022,631,427,904,833,3559,1456,613,3333,373,6428,5516,2098,987,755,397,2320,1462,1253,4048,2555,762,3179,746,365,1024,5659,637,1089,1076,1156,793,7030,7278,765,1615,3200,465,7008,388,1325,3450,495,365,1550,6626,778,1169,7750,2303,1029,837,391,4357,737,1083,526,365,745,1521,648,1232,597,2711,413,474,759,920,401,427,734,3886,415,865,1361,381,767,5072,4461,397,1312,1568,1325,1372,2061,2028,1491,487,3562,1555,1373,4865,764,6454,1045,1562,519,1909,3280,2285,1072,3580,1193,3868,390,2630,3270,961,1041,7034,6600,416,389,2942,4581,739,381,705,4565,381,8206,3214,419,1034,943,1302,4240,1094,1492,3548,1151,383,2757,567,421,1550,455,804,539,1581,4007,1051,1950,373,1206,2138,2453,1258,3387,5472,388,4280,522,3812,696,3711,2414,2082,706,435,1024,1736,1003,5354,1767,1576,3007,1160,857,4424,2880,4127,868,1032,1514,3268,5125,2804,1496,1294,2289,920,2721,1022,896,7195,6313,789,7064,376,885,637,2367,3181,2897,1379,3767,1124,1630,1576,4245,911,1101,717,2673,621,893,857,2019,700,395,1236,886,3303,5726,1217,2522,983,542,1100,5658,882,2884,2060,5374,1918,715,835,937,6066,774,448,7142,4355,821,1534,1127,381,2886,1979,699,806,909,2712,2512,1709,809,365,395,793,439,1292,3032,4283,2500,667,423,2292,860,965,3193,477,1499,3698,1002,374,727,1690,896,803,3299,4385,434,506,4263,747,457,899,925,4043,1365,703,5035,366,1045,834,914,378,5175,6945,1994,881,1390,803,748,534,3195,416,369,980,1582,1655,5633,1463,866,1918,1411,794,2350,495,792,777,594,3511,4745,409,2770,1903,5619,4022,994,760,508,1419,519,391,3429,653,2200,750,536,984,1050,3903,2354,1403,877,381,2600,710,427,488,734,4021,380,379,763,5127,793,2525,566,822,500,2245,804,1092,776,4348,2549,461,4542,595,2112,366,1653,710,1106,2460,1048,406,527,957,1091,2101,422,701,884,371,789,710,2943,1542,370,1542,366,1486,3026,1303,767,699,379,416,1101,573,2163,448,665,1653,1090,942,408,371,883,743,5808,1135,437,435,2309,2129,1779,1185,2274,408,374,1721,1693,5669,1032,1017,545,2028,382,437,2229,415,1597,724,1421,925,1433,6413,2645,685,723,1837,601,2080,792,379,814,885,636,3333,771,891,614,2385,2691,375,2501,3279,399,1794,365,392,2878,1075,3015,2491,762,3788,381,367,657,7449,677,473,1025,523,4958,385,1350,5998,372,3571,6793,2796,1413,391,2785,382,374,513,722,512,6621,566,961,667,5881,871,2457,641,843,1291,396,3135,408,1079,970,5578,5303,894,1165,1444,1677,730,976,1701,4890,488,417,724,737,1743,523,6370,5354,500,2632,5154,2928,438,431,421,599,418,1302,400,748,1609,694,6537,1443,1374,457,843,1873,970,1226,2347,2005,394,764,477,3512,907,870,1915,697,716,714,368,4078,2805,5091,3812,847,724,1600,2133,1817,916,704,1693,742,2289,1080,813,3654,2601,433,1945,6169,2578,770,475,1294,6884,1251,491,563,4678,558,3130,779,549,465,435,367,397,1525,866,4511,815,3283,824,1416,1010,1106,2355,1100,1030,2724,491,962,2405,1302,727,607,1152,1349,378,368,2546,453,2007,2270,732,735,755,892,1386,729,1806,7543,1326,837,499,564,4669,1538,770,1522,560,722,761,435,600,1448,805,679,1362,4099,714,651,2263,714,616,477,394,1206,635,456,4585,3044,446,393,7206,2630,912,994,748,578,578,729,2028,768,1821,1452,2097,1591,703,1317,743,944,1175,825,448,778,625,2972,381,1923,686,438,1534,726,720,1554,417,509,832,832,712,415,2162,2235,1238,695,1054,2006,399,1309,1677,790,2517,4159,526,1756,4606,369,792,1849,513,785,3182,836,1770,697,472,1711,671,746,383,716,1809,1895,2871,1000,1650,460,740,594,867,406,868,673,791,421,1091,643,406,707,724,820,2936,1469,1042,746,471,794,3805,573,394,371,393,895,1268,718,1470,748,1042,421,3057,1445,538,3149,3702,736,392,1196,4610,492,416,6282,891,1337,890,3373,388,838,1521,2149,1429,456,1212,1070,3318,1935,2030,1689,939,394,1645,2293,2258,1355,2711,392,1493,7307,2013,806,617,483,1344,1012,421,443,913,691,760,1239,756,989,1528,1295,385,1811,606,4679,557,4057,699,781,366,430,692,3408,798,421,1107,760,379,2736,2554,761,2412,483,2113,1386,2180,6344,693,4084,414,2549,6313,1152,490,370,965,4494,3273,2834,964,4431,725,1132,667,396,4845,763,403,5538,782,964,819,764,1425,1680,817,1805,420,4934,795,515,1054,2514,1007,369,942,1101,1380,2184,880,720,1683,768,1518,785,886,684,2281,1714,703,2410,1068,1338,1259,708,460,427,1320,1904,5659,2673,1015,1068,976,6433,492,640,664,381,3847,385,1362,637,2053,705,637,2297,1126,5148,424,752,632,869,1421,393,1990,1195,3139,693,4326,4577,700,2459,534,446,1833,601,2158,677,1568,488,368,828,6181,406,525,676,373,3583,423,566,4530,1780,1123,2818,1393,678,392,378,4389,403,585,391,468,413,447,432,373,390,542,530,695,879,386,705,385,1525,369,525,658,483,374,368,390,979,3087,3171,638,638,713,367,1017,648,766,992,573,737,2769,764,1064,1383,528,503,535,1795,368,2071,1820,553,689,2263,968,472,2955,1656,2150,394,394,604,459,749,730,3728,2233,647,1482,378,417,460,409,661,388,378,3375,3045,3045,2084,4742,1309,2436,756,898,563,562,956,593,920,3693,366,462,919,6052,551,455,782,374,385,2608,5651,6337,686,683,2780,375,6423,436,680,667,763,738,1590,1056,636,1602,511,749,2806,2203,671,1038,3331,512,685,455,3537,1828,746,980,2263,764,710,538,775,1146,609,1381,1987,2317,469,787,541,392,500,1524,975,1670,2421,817,704,700,6139,5355,2234,660,676,6174,581,536,700,365,1588,1197,5649,1207,749,458,2332,1471,5030,667,382,1085,366,3608,496,1246,385,1249,824,682,3633,608,980,734,475,2856,2212,2113,995,432,612,382,384,1341,1424,1500,5360,3956,3519,953,687,378,1318,685,1617,4006,5318,774,1238,4362,2328,394,6718,5598,1588,5076,813,3095,368,636,2748,892,374,2875,381,1176,664,540,669,2526,1179,1078,1569,1505,844,710,709,1061,4595,455,1422,756,1387,494,1458,2329,957,661,952,2283,404,6405,626,4220,1482,1792,1431,773,3508,389,909,2956,391,689,2180,2087,5117,622,728,989,2274,1178,1047,665,647,675,500,1021,663,2902,1029,2324,381,725,2120,668,468,5122,4161,751,833,1527,2360,5445,505,5382,579,1285,3109,874,3899,725,3058,2386,678,1235,2867,1034,2261,675,825,797,1100,716,370,1795,704,746,2342,4456,1624,697,1408,1702,429,4504,7091,860,605,6533,1907,1380,1509,567,2664,1086,585,701,1090,378,528,383,1913,2278,2602,679,2335,660,4838,2638,755,756,1519,876,4636,1432,4280,924,497,659,668,2430,777,1311,659,663,548,1964,378,3170,1630,898,1277,666,462,6980,1150,669,666,651,7051,4564,1459,946,4883,808,5092,1607,524,975,4106,483,6756,365,4117,1975,1128,432,2569,369,4205,903,1211,1635,707,751,2515,4026,749,1638,2078,692,1092,392,2385,371,371,2747,3446,373,891,1336,396,377,2995,2287,2323,2129,542,547,3899,367,693,575,654,1005,813,734,375,931,510,418,490,1330,435,367,1047,5228,898,3263,938,5358,545,401,7561,473,387,624,823,371,368,639,686,511,1043,855,680,493,703,696,445,1183,4613,1123,542,2623,695,1372,596,380,1277,1371,1316,2730,711,690,490,1552,3669,712,447,3260,5234,419,5796,743,841,2161,654,558,1399,815,3822,981,2181,1330,750,529,1424,1328,723,6789,606,402,698,3904,413,1147,1246,602,3985,374,532,1471,406,1760,1673,3464,725,1046,818,631,2099,696,2409,861,694,2139,408,413,669,3136,625,7092,1353,802,1848,495,5605,480,431,2559,1176,497,6919,378,395,954,763,383,530,1658,775,695,1197,2653,2942,3706,577,7669,495,665,601,378,386,2799,3459,2401,649,4098,553,1280,773,1992,572,645,701,492,4235,677,3686,1603,373,1974,539,1327,367,1159,1614,687,1139,2286,849,643,2126,1624,624,918,592,840,3539,1085,2405,1592,2408,1847,4470,547,645,1608,1045,640,2158,490,887,2300,657,1126,700,7689,3277,4047,620,689,2376,528,1320,2163,370,1512,946,2125,500,676,603,774,841,421,5804,847,572,559,452,773,1484,473,821,550,3083,449,400,399,640,1034,1462,1036,768,367,1197,367,644,754,993,2239,2766,672,440,374,556,383,438,736,1764,636,661,1853,446,1299,1721,634,922,2788,1522,621,394,1006,1064,1028,1468,2528,714,804,1658,2148,365,2855,455,2147,684,706,6048,401,2903,585,1861,4458,1162,7025,944,1548,765,1843,2603,1346,725,736,631,386,718,725,2418,1784,1727,1010,1586,664,7053,1354,1637,812,511,542,675,3764,641,400,5243,672,1093,1897,1791,414,1177,4536,487,396,1505,786,3837,385,3808,811,400,478,1114,697,640,1685,3447,2403,1006,492,801,643,399,460,365,1461,630,1750,3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586,3246,1879,411,713,3026,1840,2055,3435,1598,370,831,368,491,3726,443,2028,650,660,2346,1543,2149,862,420,392,858,861,842,1309,738,2264,378,981,5397,1624,710,693,382,1952,2087,3069,5015,6229,1238,2744,1836,448,485,435,446,954,389,392,1027,919,680,1338,6983,489,584,5736,1279,6144,2130,384,536,2572,382,729,690,6028,1249,431,516,2161,1166,1154,4064,607,394,565,464,6619,1032,465,1267,2087,443,367,560,408,396,937,555,1019,3718,3795,1057,3698,4061,646,827,484,3213,1176,4161,1323,1277,378,387,595,4542,416,6754,882,6262,993,2829,1341,2458,830,566,3996,3448,1243,1397,1875,373,375,407,523,3098,1812,420,448,602,412,1326,4480,1115,556,4231,1344,707,1173,3702,2393,5861,736,458,506,4012,1093,1254,373,583,2015,1040,496,1877,418,414,380,3959,465,475,597,504,1225,412,1016,961,386,567,1120,400,1034,3295,428,3139,621,386,1602,1900,1473,513,1191,4278,431,5934,3996,1973,6826,5731,589,2735,1341,823,419,2048,747,1251,4332,1497,377,4672,2386,430,1781,371,3422,1651,1321,643,1516,461,382,2187,1381,434,921,3975,4443,4759,740,371,730,409,4403,507,1558,1376,474,2141,365,450,1079,478,542,723,3792,505,974,6203,1405,390,414,1471,6235,2845,1422,2903,3359,366,1854,6170,450,2536,1019,393,2804,696,1081,1675,2210,1541,393,371,1015,2963,1009,1502,442,3203,1026,744,854,3405,1241,1402,1609,398,398,4264,613,387,4740,2542,2050,3082,989,1206,393,685,1594,5199,392,392,762,1184,1504,1356,393,439,3526,2166,381,397,1467,1382,782,562,453,366,842,2600,2013,1276,3064,709,3153,1081,2882,611,2312,6288,1632,5178,5317,1824,635,402,1429,1276,644,713,1241,2154,483,1468,1550,793,3008,396,5021,1630,993,368,2902,739,6976,456,775,529,803,4781,367,2124,830,2275,3041,3131,2953,6239,4719,3365,1683,6150,1216,1887,1714,547,371,6057,975,809,4332,1470,2354,802,6998,529,1050,3279,1258,396,4201,370,1257,1802,1027,373,628,592,1619,619,469,5180,654,394,415,5950,517,2283,629,367,441,428,538,384,608,630,528,724,2561,1651,5510,848,3309,3990,1336,1671,970,3077,370,3458,384,854,957,1357,404,3514,4170,512,979,2476,1314,703,528,705,3294,697,652,568,496,417,2725,417,409,421,3802,1038,1699,1129,3172,3991,2119,491,608,1437,2573,3774,5044,2846,5590,1837,386,885,1257,1537,4979,1668,589,500,365,822,6748,594,1517,579,628,607,909,750,2695,1435,2575,783,1084,580,3897,468,427,1204,1512,6138,485,941,482,2967,394,388,550,651,375,1019,777,420,391,388,565,3660,4303,633,1097,1013,1360,869,897,6665,897,408,621,485,365,2663,374,1279,4185,3055,583,373,511,2241,6133,1042,1953,525,1119,482,2105,554,1897,1400,470,2130,476,1484,4656,667,676,1198,603,412,1516,624,1225,369,3801,1832,678,377,419,951,3124,3679,4392,1128,2580,3436,4370,544,484,1171,4120,2670,1953,1547,3340,3359,540,2156,441,4906,2468,1889,1955,4660,376,387,705,1851,517,2035,6055,1484,593,1915,4823,6019,1140,1628,369,6288,1186,835,2258,4974,6116,558,1033,389,509,387,418,1836,431,559,457,659,976,937,6247,516,991,416,378,5831,5614,567,5740,1695,1068,1261,2820,508,371,2675,2569,3953,4878,2388,634,1089,3702,722,382,1314,386,1247,2299,379,582,469,3014,1300,392,5354,3013,628,1866,969,4006,670,4098,427,2420,367,3608,475,4107,1119,3397,2271,373,2286,400,526,585,1710,4455,2389,673,1966,531,1354,5820,379,1091,401,385,794,4834,443,2238,3483,1206,1204,1827,2054,562,833,486,5585,2012,1809,374,916,450,3473,370,1864,4953,365,1428,6132,1992,514,460,584,474,6395,1397,1317,1969,366,455,381,1354,1412,6292,842,1581,1445,885,4292,460,1055,842,662,372,1859,365,5266,1304,828,395,1645,972,1021,597,5835,381,830,2192,475,507,660,1237,377,918,1016,1840,384,376,993,681,4460,369,714,464,368,1202,713,793,1083,375,3278,402,5155,681,816,530,6927,1327,3039,660,3751,5800,2553,4358,1109,943,2791,2935,506,747,766,6372,5223,3943,581,3643,4074,925,505,1540,5148,384,465,573,463,594,2603,2485,371,888,985,595,2385,2911,3527,5563,635,487,483,365,478,2965,4910,3703,2238,899,461,3211,1685,2891,780,409,2843,3023,366,1124,2535,368,675,1048,834,372,533,1236,4728,6884,2767,3367,1308,4874,969,590,909,431,1635,917,1234,562,516,6445,4861,381,405,3248,1441,2574,1378,370,700,593,416,425,1566,3223,4507,6956,608,814,4902,828,408,367,536,747,895,3060,3019,1206,806,662,1479,901,406,438,427,2733,3175,4787,3118,1023,367,517,1245,385,6267,694,5932,2088,855,369,820,892,380,629,2430,441,3333,906,630,1140,6931,3220,2198,3070,1139,410,417,962,724,3691,3562,3236,746,440,374,593,417,972,462,4216,2063,5631,676,410,600,368,383,411,713,408,611,2543,3049,606,1264,4929,6458,1128,378,3297,665,5212,1102,2107,6541,1630,842,525,392,3227,366,4525,519,4138,614,3857,1245,404,498,1798,754,4630,3266,471,1264,537,441,430,531,627,784,3013,1105,368,3127,399,3266,545,409,1683,6603,1525,1410,446,5217,1265,716,495,6036,1152,852,478,2458,4174,2580,1593,379,1441,366,4232,1657,712,1846,1597,1816,6176,2746,5399,369,619,1091,4784,408,390,1393,1018,1038,2034,1696,422,598,900,6546,1366,3852,2415,3093,2624,5156,2443,730,540,2386,3030,6803,2523,581,651,3554,2366,814,632,509,1356,778,412,427,3736,1085,1773,540,866,1503,576,480,3207,370,1047,1477,476,379,1058,3755,6208,2020,3218,740,6543,1142,677,2429,1211,1179,486,5523,827,2590,495,385,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60,0,9,1307,92,4156,393,1134,0,1848,2360,0,1115,15,0,7270,3427,345,1825,1791,798,6803,602,0,31,1061,906,2186,389,4430,211,175,4722,801,413,7,14,0,0,2296,1803,4020,0,1581,46,2387,3141,13,0,14,0,44,696,4095,1948,3983,427,3988,13,4267,3973,0,330,2,1347,910,1280,119,4,546,2335,0,1819,1051,1839,3690,1,1792,2103,0,65,1280,0,6117,2158,385,419,1,2,171,383,41,2269,0,1048,111,0,178,30,5070,0,0,3718,1229,337,2094,4544,861,294,3494,352,26,2699,64,5196,2161,13,41,3146,861,5331,297,871,3794,295,654,1093,0,128,0,636,2967,4331,356,0,0,0,3530,2193,362,1114,5210,7,3773,864,837,4116,1856,728,0,334,2201,70,6468,209,0,6314,13,3483,1208,0,0,4278,464,2644,0,438,2,6362,2,14,2310,274,2159,1305,0,4058,4614,5001,674,498,114,5518,98,18,3760,11,6165,0,63,0,0,2849,1503,0,4776,0,271,266,938,1040,4363,3933,2684,14,2710,7040,1425,20,68,10,4214,1237,35,180,1998,18,29,97,5029,1795,882,3679,794,193,3817,6962,0,1,931,6956,275,750,336,3898,0,2,0,1,297,88,22,12,0,0,0,50,6360,0,1365,0,3397,6,5770,2544,1125,31,0,6,241,909,865,1530,5,2116,1324,1648,2428,68,3313,0,461,0,2335,564,4696,1014,3628,3834,0,2069,159,0,5481,392,817,7126,4458,92,23,4,6769,119,3147,0,1579,3,2122,111,11,0,31,1091,5856,0,809,188,2796,770,84,1402,0,0,5558,448,4652,1191,0,42,0,380,3087,17,921,1476,1918,0,2759,6130,627,866,588,69,127,43,628,14,116,1698,141,5,2099,2467,2199,18,0,0,6581,31,195,70,3914,14,4908,875,3482,113,214,2858,4648,6389,1016,3478,196,6,921,4731,1999,734,0,694,7223,1187,1256,0,211,0,9,6,3502,2,0,32,0,405,731,0,0,1234,2040,41,310,259,9,815,0,189,0,21,669,0,6498,1525,0,4,1711,2244,63,3109,1786,62,527,1597,2018,288,738,3091,0,548,2,566,13,5606,7,4681,952,972,2280,0,3,0,89,3791,851,6536,3261,4315,56,6674,33,9,13,175,744,1912,1590,0,166,1648,5,359,1164,438,0,2391,0,24,2617,1,0,0,2998,3384,465,333,4,7339,2808,5433,8,572,6,2540,1164,22,675,0,2,8,5759,1289,57,2281,0,5945,4621,106,25,698,81,231,2471,16,3923,2,107,237,672,0,18,0,13,7,0,2246,6,1203,0,56,4128,0,2609,6954,3335,3,754,467,1630,1897,771,5488,734,2,1360,344,26,532,2625,408,242,1222,266,70,5984,0,149,0,6,243,0,2888,7410,119,18,673,190,10,29,6,7,63,1778,13,4576,835,2186,36,6619,0,813,1853,0,1456,2933,0,2167,1178,101,10,2837,0,13,1433,3224,4,651,5181,6,4,3370,3485,0,0,1140,7199,0,150,72,7086,244,1001,4841,828,0,673,1480,275,35,9,3879,1617,722,70,5229,109,3736,0,1576,5112,935,18,9,13,395,318,4511,679,214,1259,11,4933,4,4097,2568,7,585,0,90,127,528,1,0,4513,12,1123,0,2218,41,336,707,2651,28,0,87,0,2571,0,7335,13,0,2860,7,4739,285,292,4855,431,18,0,372,0,4204,440,4,5,328,0,7243,5,2027,5315,1905,6881,3757,4141,4533,4291,7,2355,2188,0,0,4992,26,45,343,0,0,5519,413,0,3616,2597,7,724,898,2201,185,4523,2111,1061,181,43,2639,7,2680,0,267,1743,30,0,0,922,0,0,53,921,1020,899,3893,0,4822,5340,1731,15,3036,0,80,2,374,252,882,2,6541,4,9,0,700,1864,20,4,4584,4,29,0,1774,769,481,0,4,169,1765,979,121,19,0,90,27,150,27,376,21,241,3928,1304,3423,7,400,751,2,2047,309,132,197,1282,20,287,5574,4477,10,11,1475,4100,2545,535,124,0,1131,755,86,0,4443,0,15,414,0,1917,7304,4901,3374,1152,62,5647,59,0,230,4489,0,5813,0,650,26,3672,0,6498,3696,1285,13,958,696,3104,2588,1731,472,3783,7,6,7310,1211,7314,3,384,5475,6,3052,13,136,18,249,3576,7,0,0,1769,5,75,118,0,6113,3388,4116,3962,236,0,0,0,1375,476,3357,5063,3554,5788,471,1085,2752,4599,18,529,62,1461,6388,5983,2,249,5455,18,0,0,52,0,325,967,713,728,2774,242,3,1766,0,89,624,4999,269,1859,34,12,1294,115,462,11,7,0,5717,14,5811,24,0,5154,1325,7,0,780,7271,0,2882,121,5475,2241,1,675,6472,21,497,188,168,0,3293,2367,6722,0,0,109,13,1058,718,2824,3998,0,2427,11,2325,3720,3332,948,96,0,0,1294,2938,0,3012,1301,14,544,0,13,0,1639,172,4032,7032,1441,1649,1076,1104,2738,1636,517,847,3395,228,68,0,4393,13,539,119,233,27,0,122,952,0,3535,6729,0,0,0,699,5,2538,6,6294,0,0,7,3639,2255,27,0,0,31,0,308,997,21,727,1036,0,1980,7,0,11,1044,12,2427,4015,0,6103,264,501,920,0,5020,1394,62,663,1476,0,37,7,3319,6,267,137,28,91,1003,2874,0,229,7033,298,1672,1821,299,13,4196,0,14,597,4702,5376,6,280,14,6822,0,0,420,629,7,50,6344,2,2068,2316,1071,1860,6927,1651,4865,756,7,3513,60,1,106,874,4,1396,6886,920,6,1,333,1485,195,9,648,12,1256,7198,1992,1622,306,194,66,292,0,169,223,3,326,3296,1600,0,1236,11,0,373,45,49,0,0,4821,0,1883,2449,5,1085,280,5048,0,3615,742,4391,3,6210,5911,2858,5060,0,4977,6428,4084,2019,2023,965,3768,26,4009,84,576,1118,33,562,383,286,1178,1874,2717,2780,0,267,10,1986,878,19,1402,206,7,1,6272,6038,0,60,0,259,73,1650,6869,0,1,3928,819,3839,20,6,0,3842,6195,14,688,9,2017,6771,55,1,13,0,0,348,872,425,742,399,3879,109,6024,7,684,2795,2,6,3071,6,1324,360,0,960,0,7,316,1462,6702,415,5797,30,742,148,364,0,3894,0,86,10,3602,485,3877,5314,3668,0,2857,5590,707,695,0,1413,3964,0,4388,21,0,281,0,362,2535,1721,6,3,3490,0,6199,33,66,0,0,2406,90,0,612,4057,16,0,6794,6,6401,7,20,0,59,5493,5130,434,225,52,3683,2095,2857,0,1280,92,412,3861,3970,2850,515,486,7,110,3,174,0,1060,183,2170,115,4230,554,2,1776,3602,96,5376,2255,647,656,0,6404,3,246,1259,13,158,528,756,288,57,28,167,3232,5855,1592,668,4270,3529,6,47,1852,34,504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44,0,6,184,2212,85,0,105,0,13,1367,1961,546,0,0,1514,1,2458,2156,2027,16,498,177,324,2950,1667,76,765,715,797,4,1685,912,1673,3011,239,3000,2202,9,1,0,1123,3,10,79,350,662,2719,899,88,0,272,2639,3,3,20,2191,204,1020,3266,14,97,18,0,1371,0,2,529,1527,2548,1024,86,70,0,2887,3214,2023,10,73,2556,0,14,384,0,7,0,1539,69,1508,2475,639,1380,1144,2952,2106,34,6,6,359,364,3067,62,41,90,681,729,554,1371,2,1046,1669,0,2202,0,477,174,34,2008,45,103,76,57,2347,27,129,7,0,1620,1039,6,1575,1402,59,90,802,1038,0,223,0,4,556,8,440,94,0,5,27,6,2739,1913,6,2361,6,27,12,2781,1205,1776,98,0,2391,2638,375,157,98,92,1678,1352,3138,6,0,383,0,2492,2019,1100,3008,1423,0,426,40,66,2421,2300,0,27,0,0,3059,3,317,2,2606,1784,0,1940,2485,7,4,381,193,6,0,1344,2155,27,1258,2184,1172,1029,6,1694,370,151,185,2936,2655,0,919,1408,6,605,2,0,6,1997,0,0,454,186,777,2625,315,21,0,2068,1402,4,2554,581,176,3,358,257,14,29,0,680,1183,384,1288,115,14,2605,28,83,979,104,2495,0,2062,2919,3024,19,2397,4,0,1380,10,1110,0,1,47,3437,0,0,2468,6,1430,14,17,51,0,273,2977,54,161,1626,422,76,0,2134,766,551,20,17,3026,2563,0,1576,5,4,1487,94,46,1621,5,2667,1930,2073,2276,2798,0,2396,2080,6,1092,2640,532,0,1154,0,21,44,0,4,0,1625,10,2173,2329,507,22,27,497,0,4,636,230,1512,6,0,821,2983,1035,66,6,1915,2600,2946,8,353,3105,9,1279,2699,2420,196,2447,958,1790,39,2924,885,413,8,834,2289,2894,183,175,22,171,3,0,286,1689,3191,136,0,0,9,1508,66,365,7,20,102,4,1202,6,579,119,20,6,2979,51,36,10,0,9,2957,20,4,179,446,2018,4,434,100,44,2653,9,84,1985,2272,0,363,210,171,953,2331,13,1883,750,3,943,103,1428,27,876,714,163,7,1322,71,0,2487,2423,0,0,427,1447,94,284,157,7,28,768,2917,150,4,585,2076,526,1100,1092,839,2138,59,1305,30,13,1156,569,1346,903,44,238,36,1078,34,2313,324,187,513,0,56,6,1490,2328,0,11,1710,685,132,0,1948,900,15,0,1129,308,585,56,1603,1029,187,7,1685,2135,0,885,4,12,3083,0,1010,1138,2629,34,2892,0,1,13,588,251,0,99,1496,1194,1718,0,505,7,417,594,97,852,7,6,1414,218,21,1553,13,35,9,24,146,1540,8,1489,288,0,27,544,2522,153,727,239,231,967,8,0,251,13,127,18,1271,380,2115,0,3067,69,239,87,191,2422,21,1066,1192,2718,13,45,27,873,2512,2189,4,263,724,1019,3,8,7,283,16,574,217,0,7,36,1359,23,48,1707,0,12,6,3,35,4,13,2556,248,1915,730,1512,7,64,227,89,2889,2512,1678,174,0,0,1477,841,0,2055,7,0,1128,1744,229,3,238,0,2227,263,6,969,6,4,386,503,0,0,769,0,2235,1523,11,1875,547,1412,99,6,769,1236,635,0,0,91,1090,89,2027,1565,2746,837,1128,37,404,1791,2508,1473,1957,0,4,719,1014,8,3028,209,0,2047,10,1459,326,182,458,0,8,2999,2623,426,856,0,0,0,1319,254,980,0,381,0,3,1625,144,6,0,1301,0,551,0,691,8,8,23,3080,545,640,3102,3,115,948,20,14,919,4,6,1079,23,4,0,2341,6,2192,0,6,97,1758,3,61,1469,0,1447,0,238,0,0,455,3086,13,130,2581,37,647,472,13,12,952,1719,60,14,0,15,151,1903,924,1619,430,6,0,0,13,0,7,1207,1425,2753,3058,449,0,23,875,1003,0,4,0,0,2892,274,0,0,2910,0,983,2914,437,1889,261,2105,2747,1069,0,255,759,7,695,364,2096,10,2237,427,2882,0,873,49,676,607,2144,7,731,2177,3092,71,0,13,1589,2,0,2052,14,21,2639,2064,1433,1,1382,19,1515,0,2464,6,753,7,440,116,141,1258,0,1384,1155,28,1696,76,2428,849,3379,1127,2390,0,17,82,511,83,0,0,365,1797,61,0,729,0,1094,770,2,941,13,6,1069,2,0,14,1039,966,3091,1832,571,508,26,440,16,1400,0,61,5,0,1233,48,323,0,0,5,2537,1293,857,301,2612,9,1714,3110,406,7,6,849,998,0,0,0,0,2195,8,7,108,0,2668,1006,92,0,1,200,25,161,1017,6,1982,90,1393,23,1090,2010,397,152,2,2639,1982,8,2293,0,223,1184,3033,2925,28,6,0,111,1860,6,119,1121,2,16,1614,0,330,71,2893,872,2464,2965,62,0,2,35,5,109,20,44,1693,0,1540,2137,625,2191,399,570,21,14,0,7,104,1733,780,1653,9,13,2961,0,98,924,2232,5,0,0,2,1782,10,27,99,36,62,170,2450,0,236,0,1484,8,5,210,4,43,0,838,91,0,1244,581,434,36,953,0,91,4,119,84,28,3,915,1463,2280,901,0,70,825,645,0,18,6,117,3,310,885,2374,2521,11,1242,270,778,0,666,0,844,1155,2,6,2,2191,231,6,2448,2937,1851,7,0,1,0,978,0,1459,17,239,365,2227,0,177,2,3023,1534,444,86,21,899,0,2021,18,1365,0,4,3030,0,2521,1691,29,93,1589,1248,408,437,3103,2013,2,1493,5,342,666,0,11,0,42,1760,559,3062,0,2686,371,73,119,2167,0,544,920,28,147,1266,6,553,8,1916,823,734,69,2138,14,6,2956,595,0,0,2616,647,25,2204,0,798,0,161,786,0,3134,0,1124,6,179,326,2024,783,20,194,599,0,15,0,443,0,171,1042,111,0,1759,3,1045,1249,1257,1023,16,4,20,0,2,13,1549,166,2558,1575,32,20,1,89,0,0,2,2527,0,556,1823,118,1966,157,1973,1999,1458,710,2926,1570,13,13,7,2583,59,6,25,6,0,114,538,15,397,2216,2,11,3023,289,2927,1827,307,6,149,192,676,7,2,2679,136,639,136,0,14,9,1455,2143,27,6,115,75,465,2654,777,663,0,1130,38,0,1815,1001,177,2167,143,0,1147,553,1367,0,1330,6,1306,0,89,8,84,587,694,80,3021,5,910,0,235,32,609,6,1312,2487,102,684,170,720,6,0,29,1230,0,13,2070,2464,0,2833,304,1169,893,26,3,3,1864,1345,15,3,91,56,149,1454,6,0,7,0,4,8,17,1162,2106,944,2,306,263,101,27,2419,1078,1082,6,0,0,1452,497,14,0,13,867,90,83,4,0,1420,62,472,2,1342,1293,328,1117,2121,35,388,2623,52,3018,2225,820,268,78,987,0,2905,6,371,378,0,3,2318,82,118,0,904,0,13,11,7,1876,0,47,626,5,3115,2632,411,289,2814,711,0,2087,2633,2,524,21,0,0,545,7,2719,0,292,58,0,93,1519,1914,7,1896,372,952,37,1217,0,0,0,105,14,0,119,3,2496,4,786,729,1226,0,65,831,48,770,696,64,346,1235,4,602,799,241,1084,802,364,662,1468,7,1253,8,1901,6,0,1148,1175,1056,39,5,307,13,406,1725,842,69,114,1135,1083,2204,3043,1,736,1160,78,1,21,2,11,1630,7,2901,494,832,24,699,2576,746,2454,0,0,3,464,2012,2385,28,726,444,716,728,375,125,185,71,0,141,2436,246,266,1043,0,1048,131,472,687,29,121,0,1005,0,936,716,8,36,1373,89,64,0,146,279,4,394,480,2047,1913,2416,39,393,5,2,4,975,1989,131,1851,75,2797,2871,1274,445,145,448,2859,0,0,2219,9,1309,266,2,1156,49,103,2603,1080,6,430,292,6,13,2646,2,54,82,193,7,31,3,0,8,2394,12,4,3,75,375,1152,1442,117,1625,1027,0,735,12,1355,2221,801,1094,366,373,1526,385,0,3,2,0,2888,2422,943,192,10,175,2252,0,412,148,3,11,4,0,5,996,11,0,20,1558,7,95,6,14,1096,392,4,103,7,783,11,9,2507,2264,462,1756,882,0,15,721,779,15,0,2819,1233,0,6,1637,13,805,25,0,102,555,1391,29,1626,2968,476,118,4,2492,625,2142,1128,26,6,9,6,0,0,0,193,1378,1487,0,1,66,733,0,31,4,0,11,1297,2047,791,1482,0,7,2509,499,0,356,356,363,0,0,21,0,0,4,208,4,776,0,9,59,23,9,0,121,2948,2,33,1827,0,191,1274,2616,410,1838,1925,0,98,777,60,779,1223,23,3034,65,2592,9,1520,9,1261,355,673,2,0,3002,2,1241,2431,1697,8,182,1826,1618,471,138,1143,16,2930,13,731,189,42,59,2537,727,180,512,4,2892,888,1407,457,1632,0,81,7,20,1806,647,0,315,96,1,531,6,1503,224,35,636,3,2039,314,1,2458,327,0,1561,2994,31,1294,1018,0,0,2038,1302,197,4,0,703,145,76,2883,712,20,1051,593,413,10,199,547,210,31,28,210,4,275,136,0,50,2,1102,3,6,6,13,1672,1966,144,2946,0,6,469,696,395,12,0,6,1143,304,2962,731,2,68,0,1959,1694,0,712,3023,3010,270,1988,12,0,17,605,44,766,2419,191,2259,4,1039,469,142,767,1365,0,1968,11,1754,7,0,6,6,0,60,2429,453,0,921,3047,76,356,450,6,7,0,0,8,28,0,0,0,0,1343,20,2,250,789,40,2,1128,1619,0,9,2182,2029,2069,0,22,750,0,53,90,8,1236,533,1479,40,2918,0,783,399,2043,1694,903,2030,1057,6,0,6,0,1648,933,1336,1499,208,924,0,627,14,42,751,6,0,47,4,13,2982,2796,1300,0,297,355,4,2481,28,2524,8,1054,0,43,15,2587,45,790,377,794,2921,784,2429,0,6,0,2025,0,2933,1254,2867,2983,679,13,223,0,0,0,0,474,1417,1741,20,1187,2832,1644,771,2980,56,128,1401,2941,15,1246,1914,71,1893,11,0,1774,13,174,1449,159,2540,6,104,0,10,3,0,2602,482,119,6,0,7,0,0,328,119,25,1517,1,6,261,1064,0,170,286,183,3,5830,2568,13,0,0,7,717,497,0,1924,9,85,1865,6,1842,1368,2,2115,43,3,1903,0,391,13,79,122,109,6,37,7,1288,0,150,0,335,15,12,0,826,908,340,0,559,1112,499,6,49,14,1810,1684,0,52,2744,245,6,590,3015,36,317,0,776,4,3,646,119,2,178,23,929,1890,2721,1216,111,1879,28,0,0,2000,684,25,15,0,34,2970,533,1804,3074,0,12,463,185,18,77,322,821,0,1375,57,4,2285,0,86,1384,27,16,60,100,1778,0,1255,1169,31,1627,5,813,348,197,91,20,87,0,13,55,1079,20,1,1,0,266,4,2254,250,910,1018,17,326,84,489,6,3,13,9,587,192,0,0,1096,1690,16,67,280,4,967,0,0,6,0,11,0,16,3017,0,17,905,546,2479,2465,1995,0,471,2540,482,2718,63,19,7,0,0,77,0,20,6,17,5,931,0,0,1482,77,0,454,1999,29,1533,6,0,1524,59,2219,11,1164,823,38,0,15,26,60,0,16,2502,253,695,1824,10,843,8,0,548,1214,19,3,1962,2,219,6,2735,189,3,913,43,2553,1987,699,0,219,4,7,2213,0,5,898,378,2254,296,463,602,2929,470,1361,406,813,1087,357,1149,20,6,0,13,0,2950,0,16,52,1169,1049,65,0,36,31,42,1501,13,3,0,1974,156,1162,600,34,20,10,0,791,83,20,226,14,1447,687,14,222,33,2095,0,699,789,252,42,14,6,304,103,1579,24,0,1221,399,6,9,1272,13,16,69,42,92,1225,964,26,298,14,344,0,1255,560,1,2,2,7,0,2849,9,1560,0,1024,36,236,6,68,4,3,10,105,0,3,49,0,8,8,10,1555,90,2,6,0,7,2825,61,105,777,343,362,9,1052,14,438,23,393,2588,384,813,1334,36,20,6,270,0,59,1368,0,1,8,615,13,956,0,1020,0,13,17,584,899,135,702,1336,28,1965,2478,20,10,6,136,237,209,63,2974,0,15,25,1414,371,0,2261,47,197,295,124,1537,860,1421,3003,450,711,0,9,0,2614,5,0,1866,833,431,1736,404,50,4,94,1729,1612,1890,1277,717,2030,1940,994,69,22,147,10,1593,55,2076,0,0,653,2947,0,11,255,0,2,0,11,324,0,0,612,8,986,792,238,6,8,10,6,7,1310,365,107,0,563,1624,7,27,0,2151,3,2228,16,449,0,377,16,4,6,6,2908,13,8,472,0,1469,14,2,1556,0,1977,559,2499,2,2895,98,2573,396,0,182,128,2262,2201,3020,2255,1771,5,16,8,1307,6,0,60,54,141,3,6,756,165,10,1655,0,7,14,655,0,12,7,15,24,0,1259,6,185,6,1236,1855,0,2,2343,2336,2273,2389,13,14,49,2177,0,3014,48,734,296,878,2296,1,4,0,33,0,529,0,0,368,2750,1048,0,38,0,1326,777,2774,0,21,0,0,23,1,7,0,0,7,18,394,676,561,6,40,15,371,82,2668,1667,305,29,0,39,123,2897,1309,2355,350,539,7,1032,6,84,0,0,46,13,1427,32,7,1945,93,1523,766,1923,169,0,46,4,175,1180,2291,2613,359,0,108,899,0,1107,1427,1122,0,206,0,18,2447,1573,1967,416,1052,1482,3,243,1782,2154,2218,0,1888,1242,0,660,0,1216,1212,2543,10,2599,2019,0,17,811,852,42,952,555,2436,0,14,471,0,64,1649,509,10,0,2852,807,7,1205,569,46,67,0,1399,1176,916,4,18,0,42,6,1972,263,27,653,0,44,14,0,623,251,15,1014,12,282,1487,875,42,0,157,0,13,0,48,6,0,1,21,17,91,24,405,2200,13,1002,437,0,1330,53,2515,0,1,1455,2,1080,7,1106,36,702,392,1817,41,3054,0,2975,0,0,107,664,92,1393,89,2585,1470,2518,415,1054,470,238,2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040,41,310,259,9,815,0,189,0,21,669,0,6498,1525,0,4,1711,2244,63,3109,1786,62,527,1597,2018,288,738,3091,0,548,2,566,13,5606,7,4681,5556,972,2280,0,3,0,89,3791,851,6536,3261,4315,56,6674,33,9,13,175,744,1912,1590,0,166,1648,5,359,1164,438,0,2391,0,24,2617,1,0,0,2998,3384,465,333,4,7339,2808,5433,8,572,6,2540,1164,22,675,0,2,8,5759,1289,57,2281,0,5945,4621,106,25,698,81,231,2471,16,3923,2,107,237,672,0,18,0,13,7,0,2246,6,1203,0,56,4128,0,2609,6954,3335,3,754,467,1630,1897,771,5488,734,2,1360,344,26,532,2625,408,242,1222,266,70,5984,0,149,0,6,4003,0,2888,7410,1022,18,673,190,10,113,6,7,63,1778,13,4576,835,2186,36,6619,0,813,1853,0,1456,2933,0,2167,1178,101,10,2837,0,13,1433,3224,4,651,5181,6,4,3370,3485,0,0,1140,7199,0,150,72,7086,244,1001,4841,828,0,673,4599,275,35,9,3879,1617,722,70,5229,109,3736,0,1576,5112,935,18,9,13,395,318,4511,679,214,1259,11,4933,4,4097,2568,7,585,0,90,127,528,1,0,4513,12,1123,0,2218,41,336,707,2651,28,0,87,0,2571,0,7335,13,0,2860,7,4739,285,292,4855,431,18,0,372,0,4204,440,4,5,328,0,7243,5,2027,5315,1905,6881,3757,4141,4533,4291,7,2355,2188,0,0,4992,26,45,343,0,0,5519,413,0,3616,2597,7,724,898,2201,185,4523,2111,1061,181,43,2639,7,2680,0,943,1743,30,0,0,922,0,0,53,921,1020,899,3893,0,4822,5340,1731,15,3036,0,80,2,374,252,882,2,6541,4,9,0,700,1864,20,4,4584,4,29,0,1774,769,481,0,4,169,1765,979,121,19,0,1555,27,150,27,376,21,241,3928,1304,3423,7,400,751,2,2047,2118,132,197,1282,20,287,5574,4477,10,11,1475,4100,2545,535,124,0,1131,755,86,0,4443,0,15,414,0,1917,7304,4901,3374,1152,62,5647,2314,0,230,5608,0,5813,0,650,26,3672,0,6498,3696,1285,13,958,696,3104,2588,1731,472,3783,7,6,7310,1211,7314,3,384,5475,6,3052,13,1840,18,5485,3576,7,0,0,1769,5,75,118,0,6113,3388,4116,3962,1673,0,0,0,1375,476,3357,5063,3554,5788,5331,1085,2752,4599,18,529,62,1461,6388,5983,2,249,5455,18,0,0,52,0,3403,967,713,728,2774,2187,3,1766,0,89,624,4999,269,1859,34,12,1294,115,462,11,7,0,5717,14,5811,24,0,5154,1325,7,0,780,7271,0,2882,121,5475,2241,1,675,6472,21,497,188,168,0,3293,2367,6722,0,0,4918,13,1058,718,2824,3998,0,2427,11,2325,3720,3332,948,96,0,0,1294,2938,0,3012,1301,14,544,0,13,0,1639,172,4032,7032,1441,1649,1076,1104,2738,1636,517,847,3395,228,68,0,4393,13,539,119,3957,27,0,122,952,0,3535,6729,0,0,0,699,5,2538,6,6294,0,0,7,3639,2255,27,0,0,31,0,308,997,21,727,1036,0,1980,7,0,11,1044,12,2427,4015,0,6103,2475,501,920,0,5020,1394,62,663,1476,0,37,7,3319,6,267,137,28,91,1003,2874,0,229,7033,298,1672,1821,299,13,4196,0,14,597,4702,5376,6,280,14,6822,0,0,420,629,7,50,6344,2,2068,2316,1071,1860,6927,1651,4865,756,7,3513,60,1,106,874,4,1396,6886,920,6,1,333,1485,5732,9,648,12,1256,7198,1992,1622,306,194,66,292,0,169,223,3,326,3296,1600,0,1236,11,0,373,45,49,0,0,4821,0,1883,2449,5,1085,280,5048,0,3615,742,4391,3,6210,5911,2858,5060,0,4977,6428,4084,2019,2023,965,3768,26,4009,84,576,1118,33,562,383,286,1178,1874,2717,2780,0,267,10,1986,878,19,1402,1438,7,1,6272,6038,0,60,0,259,73,1650,6869,0,1,3928,819,3839,20,6,0,3842,6195,14,688,9,3862,6771,55,1,13,0,0,348,872,425,742,1400,3879,109,6024,7,684,2795,2,6,3071,6,1324,360,0,960,0,7,316,1462,6702,415,5797,30,742,148,364,0,3894,0,86,10,3602,485,3877,5314,3668,0,2857,5590,1548,695,0,1413,3964,0,4388,21,0,281,0,362,2535,1721,6,3,3490,0,6199,33,66,0,0,2406,90,0,612,4057,16,0,6794,6,6401,7,20,0,59,5493,5130,4194,225,52,3683,2095,2857,0,1280,255,412,3861,3970,2850,515,486,7,110,3,229,0,1060,183,2170,115,4230,554,2,1776,3602,96,5376,2255,647,656,0,6404,3,2180,1259,13,158,528,756,288,57,28,167,3232,5855,1592,668,4270,3529,6,47,1852,34,5048,1440,2705,10,5558,304,13,176,36,331,2021,14,0,64,947,587,6,3128,799,1400,10,4271,1362,3240,2514,487,3632,7,2547,0,4067,6,10,3041,38,6417,0,77,2637,0,1860,1329,3741,2278,0,4,781,4953,0,148,34,788,3,1475,7,5901,0,1230,0,1444,2167,757,2637,0,4,423,34,6598,297,23,3128,2489,0,963,3,7,0,48,0,1725,2,3625,531,13,2413,0,0,0,1562,3888,3527,0,121,8,3294,1791,13,61,69,5731,3346,1001,0,1015,85,1404,3341,0,5822,0,53,15,7,29,0,84,0,396,145,4496,1314,1259,0,592,0,5347,3336,0,742,5480,0,0,5282,6187,762,1754,46,2502,4690,1030,28,2658,2,4,0,297,470,0,128,0,10,1131,5439,95,8,0,11,890,0,0,0,740,4695,395,811,1659,1978,2101,15,6249,196,0,6,1949,226,5006,1669,3139,0,0,4648,294,4540,4948,16,7,888,259,10,4427,1115,4698,1450,1213,1737,0,701,2139,0,0,935,3452,538,15,4,797,0,7301,0,0,50,3058,498,0,1032,2957,1069,210,0,4,922,370,6352,4882,4837,0,1173,1232,404,1215,3358,9,272,8,13,6,7,1518,182,1348,4,945,1328,3806,39,4339,2610,15,0,2832,941,1037,0,6,4413,4,0,10,99,822,883,3692,5,0,0,1819,5706,791,2670,4258,856,6,9,36,22,0,3218,9,3,20,93,0,7,254,28,3797,434,1662,367,2026,80,5773,131,0,72,0,4587,215,75,116,5866,4430,3563,3010,6749,6842,19,13,1223,25,3,141,2259,1956,3960,5413,48,3900,444,1056,3276,220,6768,2427,2,1626,184,5714,0,2033,0,895,5118,4788,6,1249,888,49,11,1059,21,4812,1536,3344,2071,28,0,829,657,448,742,499,9,0,1748,229,2,85,1883,4572,14,4298,13,12,9,0,0,3,977,1213,4253,0,0,5782,119,3480,642,4,1173,0,6,4548,2111,114,479,7,208,875,4423,3103,2,7250,255,58,909,257,1799,1526,3980,0,3855,65,5497,2900,1160,7248,0,5,0,1090,1640,1,1007,102,174,0,90,1271,7,5265,0,7,0,120,6146,2245,6039,12,29,914,5107,0,19,1621,4277,425,1848,235,24,4325,1414,3658,598,1,3144,3,4,0,1,23,3,368,224,2,517,3,11,1231,2725,5550,1572,14,0,1195,440,14,4,10,390,3337,2212,1350,82,3512,1303,49,42,3,116,609,1761,866,5344,0,2401,209,13,2862,3888,1566,25,4,0,0,0,5051,0,1771,0,472,533,222,1575,198,3188,6630,1378,35,1421,1555,4003,10,3,0,783,7030,4830,95,2,0,2502,183,0,1670,4042,0,1062,26,6,10,17,1666,0,33,13,10,6954,33,3485,6,5,0,154,643,3111,0,7149,0,511,0,0,644,0,13,55,26,2478,206,0,5829,1129,6156,105,2464,28,5847,16,3990,1748,808,1880,4776,53,13,27,791,432,0,4068,0,784,989,8,446,900,7,2,635,4758,66,5305,2262,6,34,3,4499,0,4171,0,219,20,927,2698,1355,0,0,20,361,1000,0,74,6660,2944,723,5265,37,5737,0,7028,28,63,1502,0,9,0,1518,0,2633,438,3594,692,1473,21,0,0,3406,0,22,5260,82,10,9,3,205,0,1419,9,2639,6070,55,0,4,0,7,2,582,3981,0,2,1,7,0,44,1303,2024,4977,0,1045,0,291,49,5619,22,235,2,7271,2544,159,4,3220,0,0,34,884,5825,1625,2570,14,27,3016,2523,6959,0,0,337,0,0,1892,110,0,0,6979,0,1060,4902,0,1701,2,3282,0,539,77,2691,5772,0,425,3354,2210,15,132,3191,6,0,230,311,1523,21,611,2957,0,16,562,180,4135,2,0,0,2202,0,1810,6807,3924,7,47,0,0,3,1159,416,1704,5151,0,2077,51,51,42,0,3661,7,12,435,3005,0,655,269,532,1345,14,2810,5083,69,2,2955,0,0,856,7,0,7116,0,179,36,0,14,1154,6207,422,2029,0,0,227,4598,0,7,3683,45,0,0,6,358,2097,461,3298,22,0,34,0,1319,0,8,511,2,6,1987,55,7,0,1687,5,0,53,1975,4,789,452,17,0,4385,1407,0,5744,1008,14,230,2904,610,284,5878,6,1101,0,344,4380,2968,3083,411,6215,126,5,209,6226,13,3620,0,5200,1908,99,3503,28,3312,24,0,0,1387,4,1381,382,459,4,4249,0,214,791,2,4859,4583,2509,647,7,0,13,9,6623,0,0,5747,63,35,13,2062,11,5375,0,2102,10,3839,119,56,7308,3660,6310,801,868,5788,2596,2176,203,6124,117,2665,163,4,2225,49,78,13,0,131,802,7471,2131,591,2,6187,1421,55,6046,3281,902,32,4,4521,1849,8,6364,0,1630,96,4,66,280,0,799,494,200,24,32,2793,33,3196,3256,75,122,2316,13,0,938,515,2401,0,1254,5110,0,0,2095,3782,2624,281,5464,0,4585,1754,5471,0,4034,2279,49,3519,0,2136,280,5570,3354,2451,555,0,15,610,463,813,2961,0,61,0,1945,718,13,477,568,15,0,4,593,0,22,91,9,5,501,46,7,21,29,7,380,0,1904,10,28,0,564,1954,10,33,0,557,56,9,2942,969,4576,21,325,0,2558,4397,4096,4033,0,793,5,1815,5579,2153,123,5073,8,3218,13,292,336,711,3024,9,7,1339,2144,3540,3450,257,323,1087,42,621,45,3288,6496,1606,365,5128,285,12,716,388,456,34,4,2998,5837,1,1034,559,2557,340,136,4407,403,801,8,0,4902,33,603,1891,354,0,368,33,4882,74,633,0,0,87,644,12,91,6,1838,1297,14,685,237,7111,250,469,2232,0,2966,0,6,2,6349,3358,6,213,1106,6265,5877,0,0,1167,1596,1977,632,2,61,2983,5851,0,0,44,3837,15,168,11,70,422,1970,0,2,0,0,0,0,12,1431,7,2291,28,13,3692,69,0,635,98,123,1372,6498,6912,0,6785,45,7253,98,6916,0,1,93,0,1284,0,3573,20,3,0,1,0,701,0,4928,2,247,13,773,4621,501,4683,734,0,0,1455,5,6082,8,1385,1233,10,75,4583,192,900,0,2682,0,17,5583,3752,1,2436,2797,527,6,5394,840,83,98,0,671,2779,0,6,5218,2840,27,8,21,29,298,0,901,95,642,155,1304,2,0,1648,5595,15,0,0,5606,16,1153,2675,0,3688,0,19,273,4302,3,993,175,0,294,15,55,5810,21,0,721,64,0,5028,920,103,13,1442,3923,3,29,848,315,707,442,1241,3667,2144,736,4653,676,1412,1491,389,5,642,35,8,2813,1491,611,7,312,10,1765,157,1319,6,5,1778,2220,17,5031,3190,3872,2425,9,0,5768,457,0,51,62,1454,413,3958,56,3093,9,6,3989,177,275,201,1696,1825,6086,27,0,1420,4844,722,2482,6700,6,222,68,575,7111,2135,1361,1626,0,876,11,0,2989,890,0,27,4098,1286,809,5180,0,900,13,1555,31,0,29,1935,2072,1677,3813,6601,3378,1334,976,0,4605,161,390,2,10,77,702,6199,1595,35,0,3430,0,3882,0,0,5558,0,0,18,898,939,5,5612,2784,2749,105,5063,3645,347,4812,5682,17,0,166,168,761,6811,1736,1553,1397,4,264,453,535,1473,383,7,0,733,3123,5752,6,2846,407,40,3931,5596,1058,4163,0,4676,2,2028,2007,457,324,343,6213,0,735,24,888,91,21,6,4589,4232,0,5207,343,0,5,0,2564,22,43,2653,582,148,2230,0,2955,1844,0,9,196,552,176,41,14,100,722,1430,3986,539,260,560,5280,5357,933,0,1954,0,2817,7,237,313,7067,205,44,390,7279,2016,1765,1007,413,38,9,1068,7,89,9,28,1201,1051,658,903,6212,0,2146,116,641,0,300,2914,4129,1173,5,5728,14,0,0,3591,3105,943,2775,3380,5124,258,3628,923,214,1525,16,780,5942,0,0,5320,6,1016,1994,1436,3270,6277,7,0,424,29,6,6413,577,1765,34,926,0,668,2712,4908,185,232,454,6960,861,3702,1947,4,1433,0,5814,4493,3497,21,1115,369,33,1425,14,6912,0,13,4763,4536,350,14,5569,3,1035,0,0,0,1149,4799,3979,1876,0,157,280,526,11,3396,0,16,0,1506,2486,359,2035,5161,3,1,3822,0,464,4624,5143,83,4429,36,62,0,6474,2194,28,0,6,2278,2983,0,90,0,717,0,0,2,5352,0,118,4936,2280,78,649,122,916,0,145,2003,1240,4077,3315,0,42,3691,24,1700,847,56,0,0,583,0,5620,970,0,13,1021,4551,88,503,4605,0,1507,14,7285,349,5187,1192,3102,2,4,1493,0,136,5381,138,0,2163,0,353,5492,235,2238,615,619,126,2185,231,6,0,0,1009,25,0,26,245,242,0,0,4691,749,1280,1601,387,2168,422,3186,13,393,0,241,798,4709,2243,3983,36,3939,4906,1212,7,1,2828,2183,3862,4646,1336,339,140,469,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